Foyle police have appealed for information about the theft of a Honda car stolen from Grangemore Park, Springtown overnight on Saturday into Sunday, November 21 and 22.
The keys were stolen from inside the house.
Dial 101 to help.
A PSNI spokesman said the car was later spotted being driven erratically at Rossnagalliagh and then heading towards the border with up to four people on board.
Close to the border it collided with another car. It was later found in Co Donegal and Gardaí made four arrests.
Anyone with information about the incident is asked to contact Detective Constable Doherty at Strand Road PSNI station.